What is the Greatest Common Factor of 25221 and 25236?

Greatest common factor (GCF) of 25221 and 25236 is 3.

GCF(25221,25236) = 3

We will now calculate the prime factors of 25221 and 25236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25221 and 25236.

How to find the GCF of 25221 and 25236?

We will first find the prime factorization of 25221 and 25236. After we will calculate the factors of 25221 and 25236 and find the biggest common factor number .

Step-1: Prime Factorization of 25221

Prime factors of 25221 are 3, 7, 1201. Prime factorization of 25221 in exponential form is:

25221 = 3¹ × 7¹ × 1201¹

Step-2: Prime Factorization of 25236

Prime factors of 25236 are 2, 3, 701. Prime factorization of 25236 in exponential form is:

25236 = 2² × 3² × 701¹

Step-3: Factors of 25221

List of positive integer factors of 25221 that divides 25221 without a remainder.

1, 3, 7, 21, 1201, 3603, 8407

Step-4: Factors of 25236

List of positive integer factors of 25236 that divides 25221 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 701, 1402, 2103, 2804, 4206, 6309, 8412, 12618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25221 and 25236. The biggest common factor number is the GCF number.
So the greatest common factor 25221 and 25236 is 3.

Also check out the Least Common Multiple of 25221 and 25236